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# The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breath is b metre?

Last updated date: 13th Jun 2024
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Hint: In this type of question first, we know about the perimeter of a triangle.
Perimeter of triangle =2(l+b)
Where l is the length of the rectangle
B is the breadth of the triangle
Here, the breadth is given and length is 3 × Breadth – 4
Now, we can proceed to the solution.

Complete step by step solution: First, we know about the breadth of a rectangular hall.

As we know, the rectangle has 4 vertices and 4 edges and the internal angle is 90°.
In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles.
The area of the rectangle is length × width and perimeter of the rectangle is 2 × (length + width)
It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal.
According to the question,
Given that,
The breadth of the hall = b m
Now,
we find the length of the rectangular hall according to given condition, then,
length of the hall = 3 × (Breadth of hall) – 4
= 3 × b – 4
= 3b – 4
∴ length of hall = (3b – 4) meters.

Note: For solving this type of question, first, we know about the perimeter of triangle and area of a triangle that is The area of a rectangle is length × width and perimeter of a rectangle is 2 × (length + width)
It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal.